agitate
发表于 2025-3-25 04:16:24
https://doi.org/10.1007/978-3-642-92156-8 spaces. In this chapter we shall study a variety of topological linear spaces of functions and measures for which a characterization of the multipliers is relatively accessible. In addition to its intrinsic interest we hope that this material will illustrate some of the differences between the stud
LIKEN
发表于 2025-3-25 08:52:55
https://doi.org/10.1007/978-3-642-91143-9vious chapters. In particular, we have already discussed to some extent the cases when .1 and . ∞. Consequently we shall now restrict our attention primarily to the values of . such that 1< . < ∞. We shall show in the following sections that the multipliers for .(.) can, in a certain sense, be repre
谦卑
发表于 2025-3-25 14:17:22
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neuron
发表于 2025-3-25 17:04:46
Fragestellungen und Untersuchungsmethoden, algebras. These algebras are similar to the group algebra ..(.) in a great many ways. In particular for noncompact groups we shall see that the algebras ..(.) and ..(.) have the same multipliers. However the algebras ..(.) are neither group nor . algebras. This leads to the observation that the nat
玉米棒子
发表于 2025-3-25 23:41:03
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Buttress
发表于 2025-3-26 03:57:54
Prologue: The Multipliers for ,(,), describe those sequences {.} for which.is always the Fourier series of a periodic integrable function whenever.is such a Fourier series. Subsequently the notion has been employed in many other areas of harmonic analysis, such as the study of properties of the Fourier transformation and its extensio
fluffy
发表于 2025-3-26 07:35:55
The Multipliers for Commutative ,*-Algebras,s with the Banach algebra norm, b).c) .* . ≠ 0 if . ≠ 0 and d) <.,.> = <., .* .> for all ., ., .∈.. The standard example of an .*-algebra is the algebra .(.) for a compact group . with the usual convolution multiplication and scalar product. A general discussion of .*-algebras can be found in Loomis
采纳
发表于 2025-3-26 11:10:49
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坦白
发表于 2025-3-26 14:13:39
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看法等
发表于 2025-3-26 20:31:11
,The Multipliers for the Pair (, (,), ,(,)), 1 ≦ ,, , ≦ ∞,re . ≠ .. The problem of describing the multipliers in this situation is equally if not more difficult than in the case . = .. In order to obtain a description of the multipliers as convolution operators we shall have to introduce a class of mathematical objects which properly contains the space of